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2112656 = 247131451
BaseRepresentation
bin1000000011110010010000
310222100000112
420003302100
51020101111
6113140452
723646230
oct10036220
93870015
102112656
1112132a7
1285a728
1358c7c0
143cdcc0
152bae8b
hex203c90

2112656 has 40 divisors (see below), whose sum is σ = 5041344. Its totient is φ = 835200.

The previous prime is 2112631. The next prime is 2112683. The reversal of 2112656 is 6562112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 731 + ... + 2181.

22112656 is an apocalyptic number.

2112656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520672).

2112656 is an abundant number, since it is smaller than the sum of its proper divisors (2928688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2112656 is a wasteful number, since it uses less digits than its factorization.

2112656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1473 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 2112656 is about 1453.4978500156. The cubic root of 2112656 is about 128.3146555528.

Adding to 2112656 its reverse (6562112), we get a palindrome (8674768).

The spelling of 2112656 in words is "two million, one hundred twelve thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1451 1456 2902 5804 10157 11608 18863 20314 23216 37726 40628 75452 81256 132041 150904 162512 264082 301808 528164 1056328 2112656